Atkin-Lehner |
2- 3+ 11+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
36894v |
Isogeny class |
Conductor |
36894 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
76608 |
Modular degree for the optimal curve |
Δ |
-475416674304 = -1 · 214 · 3 · 113 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 3 -1 11+ 13+ 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1941,4953] |
[a1,a2,a3,a4,a6] |
Generators |
[3:102:1] |
Generators of the group modulo torsion |
j |
808697934688463/475416674304 |
j-invariant |
L |
9.2229477009425 |
L(r)(E,1)/r! |
Ω |
0.56728280490197 |
Real period |
R |
0.58064687748867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110682x1 |
Quadratic twists by: -3 |